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Finding the Third Proportional to 11,532 and 22,488

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Solution

The third proportional to 11,532 and 22,488 is: 43,852.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532 : 22,488 = 22,488 : x
  2. Step 2: Convert to fraction form
    11,532/22,488 = 22,488/x
  3. Step 3: Cross multiply
    11,532x = 22,488 × 22,488
  4. Step 4: Simplify right side
    11,532x = 505,710,144
  5. Step 5: Solve for x
    x = 505,710,144/11,532
  6. Step 6: Final answer
    x = 43,852.77

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.